IEEE Transactions on Computers - Special issue on computer arithmetic
Fraction-free computation of matrix Padé systems
ISSAC '97 Proceedings of the 1997 international symposium on Symbolic and algebraic computation
IEEE Transactions on Computers
Double-Basis Multiplicative Inversion Over GF(2m)
IEEE Transactions on Computers
Dynamic adaptive 3D multi-view video streaming over the internet
Proceedings of the 2013 ACM international workshop on Immersive media experiences
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An algorithm for solving a discrete-time Wiener-Hopf equation is presented based upon Euclid's algorithm. The discrete-time Wiener-Hopf equation is a system of linear inhomogeneous equations with a given Toeplitz matrix M, a given vector b, and an unknown vectorlambdasuch thatMlambda = b. The algorithm is able to find a solution of the discrete-time Wiener-Hopf equation for any type of Toeplitz matrices except for the all-zero matrix, while the Levinson algorithm and the Trench algorithm are not available when at least one of the principal submatrices of the Toeplitz matrixMis singular. The algorithm gives a solution, if one exists, even when the Toeplitz matrixMis singular, while the Brent-Gustavson-Yun algorithm only states that the Toeplitz matrixMis singular. The algorithm requiresO(t^{2})arithmetic operations fortunknowns, in the sense that the number of multiplications or divisions is directly proportional tot^{2}, like the Levinson and Trench algorithms. Furthermore, a faster algorithm is also presented based upon the half greatest common divisor algorithm, and hence it requiresO(t log^{2} t)arithmetic operations, like the Brent-Gustavson-Yun algorithm.